5 citations · 10 across the 8 of their papers we have counts for
9 papers
Bar-Natan theory and tunneling between incompressible surfaces in 3-manifolds
Uwe Kaiser
The author defined for each (commutative) Frobenius algebra a skein module of surfaces in a -manifold bounding a closed -manifold . The surface compo…
On the geometry of two state models for the colored Jones polynomial
Uwe Kaiser, Rama Mishra
Using the flow property of the R-matrix defining the colored Jones polynomial, we establish a natural bijection between the set of states on the part arc-graph of a link projection…
Generalizing the relation between the Kauffman bracket and Jones polynomial
Uwe Kaiser
We generalize Kauffman's famous formula defining the Jones polynomial of an oriented link in 3-space from his bracket and the writhe of an oriented diagram. Our generalization is a…
HOMFLYPT Skein Theory, String Topology and 2-Categories
Uwe Kaiser
We show that relations in Homflypt type skein theory of an oriented -manifold are induced from a -groupoid defined from the fundamental -groupoid of a space of singula…
Frobenius algebras and skein modules of surfaces in 3-manifolds
Uwe Kaiser
For each Frobenius algebra there is defined a skein module of surfaces embedded in a given 3-manifold and bounding a prescribed curve system in the boundary. The skein relations ar…
Kauffman state sums and bracket deformation
Nikos Apostolakis, Uwe Kaiser
We derive a formula expanding the bracket with respect to a natural deformation parameter. The expansion is in terms of a two-variable polynomial algebra of diagram resolutions gen…